{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "054fcd6b",
   "metadata": {},
   "source": [
    "### 基础知识"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "156a1af3",
   "metadata": {
    "heading_collapsed": true
   },
   "source": [
    "#### 图形绘制"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "aae9e808",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-05-07T13:38:44.550729Z",
     "start_time": "2022-05-07T13:38:44.050625Z"
    },
    "hidden": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "51911c10",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-05-07T13:50:00.905034Z",
     "start_time": "2022-05-07T13:50:00.776005Z"
    },
    "collapsed": true,
    "hidden": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 7.0, -1.5, 1.5)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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ClChKcCT8CFb/uxrn487D0tQS41qPw4yOM9DCqcWzL6hlPnqP8pFG+ahG2fwnOygb8Z/HI/VgKowsjdDwrYZwy9kI85+WyV2asPRjhlg1qtO0Dpqta4ZOdzrBdbYrUg+lIqhVEG4NvoXsy9mVb0BPXLt/Df1/6Y8um7sgLDUM3/X5DuHTw/FG2zeEbUwAwMTIBEN8h+DcG+dw9a2rGOk3EpuvbYbfWj9MODwBD/IeyF0iIcQAcM6ReS4T13tdx5UOV5B5JhMeH3mgU1wneH3t9fiuUVIrBtOcPGLe0BxeX3mhc1xneHzigcxzmbgSeAU3+t5A/p18ucvTmPDUcIzYNwLt1rfD3wl/Y3mP5YieGY23A9+GuYluXYfTtkFbbBy4EYlzE/He8+9h+43t8PneBz8F/wQFp9kZCSGakReah2svXsO1F68h91oumi5vik5xndDk0yYwc5T/NLg+Mbjm5BHTeqZosqgJOsV1QtMvmiLrQhYut7qMxO8SwRXinuqqruTcZLx55E34rfXDsYhj+KjrR4iZFYP3uryHumZ15S6vVhwtHbG853Jcn3Idreq3wuSjk9FlUxdcv39d7tIIIXpEUaxA3LI4BLUNQl5IHrzWeKFTbCe4v+ducJOjaYvYzUldzf/wNLE2gft8d3S41QG2XWwRNSMK17pdw8OIh5W/WE6Bld7shCPhR9BqXStsu7ENMwJnIGZWDD596VPYWdhpvj4tauHUAmfGn8GWQVsQlR4F/x/9MbdxOHIKc+QuTVxVGD8GjfJRzcCyyb2eiyudruDOB3fgONARgbcD4TrdVfU8JAaWj6aIfUFsu3Y86OpVre2Pc47krcmImh0FRYECjT9rDLc5bmDGAl5tnZUF2NpWuCi3KBdzfp+DDVc3oG2DttgxZEfFF43qofT8dHxw6gP8GPwjGlo3xKreqzDUdyhdMf80ifFDQPlIMZBsFEUKxC2NQ/zn8TCpZ4Jm3zeD01Cnyl9oIPnUlH5cEJuRodXdMcbQYHwDdLjdAfa97BHzbgyuPHcFeSF5Wq2jSvburfDL/yT+g7Y/tMXGqxvx/vPv4983/zWYxgQAHOo44If+P+Ci0/twquuE4XuHo+8vfRGXGVf5iw2JivFDylA+qhlANtmXsxHsH4y4T+NQf1R9BIYEVq0xAQwiH20Q+8hJQAAPCqp0OhSN4JwjZXcKIqdHojSnFI0/bgy3+W4wMhWknystBYwfH1YsLi3GkvNLsPSvpXC1ccXWwVvR1aOrjAXKrLQUJYzj+0vf46MzH8HU2BS/DPkFvbx6yV2ZGJ4aP+QplI9qepxNaX4pYhfHImFFAsxczNB8fXPU61evmhvR33zUQT+OnCQkVL6OhjDG4DzSGYG3A+E42BF3PryDKx2vID9GkDt6nnigVERaBJ7f9Dw+Pf8pRrcejetTrht2YwIA77wDEyMTzOo0C1feuoKG1g3RZ0cfLD2/lO7oASp+wB95jPJRTU+zyb2Vi6B2QUj4IgEuk1wQGBJY/cYE0Nt8tE3s5kQAZvXN4LfLD34H/FAQW4DgwGBknNXu6SZVOOdYH7Qe7da3Q1R6FPYM24Mtg7bA1oLOdz7Jy8EL/0z6B6NajcKHZz7E4N2DkVWQJXdZhBBBpB5JxdXOV1GaXYrWJ1uj+Y/NYWJLd+HIiZqTKnIa7IT2/7aHmZMZbrx8A0nrk2StpwAlGLV/FKYcm4Ln3Z7Hzak3MdxvuKw1iayuWV1sH7wdq3uvxvHI4+jwUwfcSrkld1mEEBlxzhG3PA63Bt2CpY8l/C/7w6Gng9xlEVBzUi2W3pZo/0972Pe0R8SUCERMj4CiWPunCFIfpqKH1X7sDtmN5T2W4/cxv6ORTSOt16FrGGOY2XEmzow/g5yiHHTc0BG7b+2WuyxCiAxKC0oROjYUdxbcQf0R9dH2fFuYN9KtCSn1GTUn1WRia4JWR1vBdZ4rkr5Pwo0+N1CcXqy1/UemRaLzxs64YpyCvcP34r0u78GI0bexOrq4d8GVyVfQrkE7jNw/EnNPzEVxqfa+h4QQeRXeK8S1bteQsiMFTZY0ge8vvqrnLSGyEPtuHS3Pc1Jd936+h4i3ImDhboGWv7ZEXR/NThr3v/j/YeCugWCM4Uj/X9DZ92WN7k+nVWGugaLSIrzzxztYc2kNunp0xe5hu9HAqoGWCpQZzcUgjfJRTcezyQ7Kxq1Bt1CSWQLfbb5wGlzFW4SrSsfz0TT9uFsnS+yLFl3ecEHbM21Rkl2CKx2vIO23NI3ta/et3eixtQfqWdbDP5P+QedrqRrbl144frzSVcyMzfBtn2+xbfA2XL57GZ03dkZ0erQWihNAFfIxaJSPajqcTcruFFx74RqYMUP7/7VXf2MC6HQ+IhG7ObG2lruCStk+Zwv/y/6waGKBm/1vIuHrBKjzaBTnHMsvLMfI/SMR2CgQf0/8G54OnkC3bmrbh16qRj5jWo/B+QnnkVOYgxc2v4CQlBANFiYIGj/SKB/VdDAbruC489Ed3B55G9YB1vC/7A+rNlaa2ZkO5iMisZuTh4I/36aMhbsF2v+vPRwHOyJ6XjSi34lWS4NSXFqMt46+hQWnFmBUy1E4OfYk6lmW3XcfHFzr7eu1auYT0DAA5944BwDo+nNXBCXJM/mf1tD4kUb5qKZj2fBSjrCJYYhbEocGExugzZ9tYFZfg08Q1rF8RCV2c5KdLXcFVWZc1xh+e/zQaEYjJH6diKjZUbVqULILs/Hqzlfx05WfsPCFhdg+ZDvMTZ64kvz0aTVUrcdqkI9ffT/8NeEv2JjboPuW7jgfd14DhQmCxo80ykc1HcpGUaJA6PhQJG9JhscnHmi+oTmMzDX8Y0+H8hGZ2M2JjmFGDF6rveA6xxV3v72LyLcjwRXVb1Ay8jPw0paX8GfMn9jw6gYs6b6E7sjREk8HT/w14S80smmEXtt74feo3+UuiRBSA4piBULHhP53R06TRU3oAaA6hH7iqRljDJ4rPeE23w1J65IQ8VZEtRqUzIJMvLL9FdxKuYUjo45gUvtJGqyWVMTVxhXn3jgHH0cfDNg5APtu75O7JEJINSiKFbg96jYe7H6Apl80hcdCD7lLItVEzYkGMMbQdHlTuC90x70N9xA+KRy8tPIGJbswG72398b1+9ex/7X96OvdVwvVkorUr1sfZ8afQYdGHTBi3wj8fO1nuUsihFSBokiB26/dRur+VHh+7Qn3+e5yl0RqQOyHB1hp6GpqLWCMoclnTWBkaoTYRbHgJRw+P/uAGVd8WDGnMAd9dvRB8L1g7Bu+D/2b9ZfeQZcuGqhaj6ghHzsLO/wx5g8M3j0YEw5PQE5hDmZ0nKGG4gRA40ca5aOawNkoChUIGRaCtKNp8PrWC64zXLVfhMD56BKxmxMduJVYCmMMjT9pDBgDsR+VNSjbfGBkUv6AVV5RHvr90g//Jv6L3cN2Y6DPwMo3TrerSVNTPnXN6uLXUb9i5P6RmPn7TOQW5WLBCwvUsm1Z0fiRRvmoJmg2pfmlCBkSgvTf0+G91huNpsr0SA9B89E1Yp/WEXwStqpq/GFjNF3eFCm7UhA6KrTc83geFj/Eqztfxf8S/ocdQ3ZgaIuhVdvosWMaqlZPqDEfcxNz7B2+F6NbjcYHpz/At/9+q7Zty4bGjzTKRzUBsyl9WIpbA28h/UQ6mv3YTL7GBBAyH10k9vT1/v48SI/uGU/4OgHR86LhONgRLXa1QCErxIBdA3Aq5hS2Dd6G0a1HV31jBQWAhYXmitV1GsinRFGC4XuH41DYIewYsgOvt3pdrdvXKho/0igf1QTLpjSvFDdfvYnMs5lovqk5XN5wkbcgwfIRjX5MX5+YKHcFauU21w1eq72QejAVt0bfwpBdQ3Aq5hQ2D9xcvcYEABbowakFTdJAPiZGJtg5dCdebPwixh8aj98if1P7PrSGxo80ykc1gbJRFClwa/AtZJ7LhM9WH/kbE0CofHSZ2M2JHnKd6QqPLzyQvi8dXt974af+P2F82/Fyl0WqyMLEAodHHkZr59YYumco/k74W+6SCDFIXKGc+TXjZAaab2iOBmMM5KGdBoKaEy0rUZRgrvtc7O20F0P/HYqXz9CThXWNjbkNfhv9G1xtXNHvl364lXJL7pIIMTgxH8T8N8GaywQBjpgQtaLmRIs455j520wcCj8En6994PSaE2LejUHyL8lyl0aqqX7d+vhj7B+wNLVEr+29EJsZK3dJhBiMxDWJSPgiAQ2nNIT7BzSPiT6i5kSLvr74NdYFrcP85+ZjRucZ8NniA9tutgh7IwwZpzLkLo9UU2O7xjgx5gTyi/Px8raXkZxLTSYhmpayLwVRs6LgOMgR3t9505T0eoru1tGSfbf3Yfje4RjeYjh2Ddv137NyijOLce2FayiIK0Db821h3baKc7vQFeHStJjPxYSL6LmtJ5rXa44z48/A1sJWK/utFRo/0igf1WTMJvN8Jq6/ch3W/tZo82cbGNcxlqUOSTR2JOnH3Trp6XJXoBYXEy5i7MGxeM7tOWwZtKXcQ/xM7UzR6rdWMLE1wc0+N5Efm1+1je7eraFq9YQW8+ns1hn7X9uPmyk3MXDXQBSUFGht3zVG40ca5aOaTNnkheTh1sBbqNOkDlodaSVmYwLQ2FETsY+ctG3Lg65dk7uMWolOj0anjZ1gZ2GHi5MuwtHSscL18kLycLXLVZg6m6L9/9rDtJ6p9IZTUwHHirdFIEs+O2/uxOgDozHQZyD2Dd8HYyNB//MEaPxUhvJRTYZsChILcLXzVfBSjvYX28PCQ+AjEzR2JOnHkZOcHLkrqJW0h2nos6MPOOc4/vpxlY0JANT1q4uWR1qiILYANwfcRGl+qfTGz51Tc7V6RoZ8RrUahdW9V+NQ2CG8/+f7Wt9/tdD4kUb5qKblbIozi3Gzz02UZJWg9W+txW5MABo7aiJ2c5KbK3cFNVZQUoBBuwchLisOh0Yegnc970pfY/eCHVrsaIHsi9m4Peq29JOML1xQY7V6SKZ8ZnScgekdpuOri19hy7UtstRQJTR+pFE+qmkxm9KCUtwadAsPwx+i5aGWsGqjAw+DpbGjFmI3JzpKwRWYcHgCLsRfwJZBW9DFvepPqXQa6gSvb72QdjgNUbOjNFgl0ZRven+DHk16YPLRybiYcFHucgjRSZxzhE8IR9a5LPhs8YF9d3u5SyJaRM2JBnx4+kPsurULy3osw8iWI6v9etfprnCd54q7391F0oYkDVRINMnEyAR7hu+Bm40bBu8ejISsBLlLIkTnxH8Rj5RdKWi6vCmcRznLXQ7RMmpO1Oyn4J+w7MIy/F/7/8N7z79X4+14fuEJ+1fsEfl2JLIu6sfTmQ2JQx0HHBl1BA+LH2LQ7kF4WPxQ7pII0Rlpv6Xhzgd3UH9kfbjNd5O7HCIDsZsTGxu5K6iWM3fOYOqxqejl2Qvf9/2+VpMDMWOGFjtbwNzNHCFDQ1CYVFh+he7da1mtnhMgnxZOLbBr2C5cvXcVEw5PgFB3xgmQj9AoH9U0nM3DyIe4Peo2rNpYofnG5ro3yRqNHbUQuzmxtJS7gipLyErAiH0j4F3PG3uG74GpcSW3AleBqYMpWh5qiZLsEoQMDYGiUPF4ob9/rbev1wTJp693X3zR8wvsCdmDJeeXyF3OY4LkIyzKRzUNZlOSU4JbA2+BmTD4HfSDsaXAt+OrQmNHLcRuTnTkVuLCkkIM2zsM+SX5ODjiIGzM1XfEx6qlFXy3+iL7n2xETIt4/Ns33a4mTaB83nnuHYxtPRYfn/0YB0IPyF2OkkD5CInyUU1D2XAFR9i4MDyMeAi/PX6o07iORvajcTR21ELs5sRWB6YBBzDzt5m4dPcStgzaAh9HH7Vv32mIEzw+9MD9TfeRtK7sAtm+fdW+H70iUD6MMfz46o/o5NoJYw+OxfX71+UuSah8hET5qKahbOKWxCH1UCq8Vnrp9p05NHbUQuzmJEn8O1U2XtmIH6/8iPeffx9DfIdobD+NFzdGvf71EDUrCpnnM4FFizS2L70gWD4WJhY48NoB2FvYY8CuAUjJS5G3IMHyEQ7lo5oGskk9korYT2LhPM4ZjWY2Uvv2tYrGjlqI3ZwI7vLdy3j7+Nvo2bQnlnTX7PUEzIjBd7svLDwtEDIsBAU5gs+SSJ7hYu2CwyMP40HeAwzdMxSFJYWVv4gQPZcXmofQMaGwDrBGsx+a6d4FsEQjqDmpoUc/YJytnLFz6E6tPEfFxNYELQ+1hKJAgVu/dqx8insiHP+G/tg8cDMuxF/AuyfflbscQmRVnFmMWwNvwaiOEfwO+In7MD+iddSc1ECJogQj949ESl4KDrx2QPKZOepW16cufHf4IjfFDhGTI8S6PZVUyYiWIzC301ysubQGe0P2yl0OIbLgpRyhr4ei4E4B/Pb5wcKNjgaTx9TSnDDGejPGwhljUYyxZ554xhh7gzH2gDF2rezjTXXsVy4LTy3E6Tun8UP/H+DfUPu3jTm+6ojGnUORvD0ZiasStb5/UnvLey5HZ9fOmHRkEiLTIuUuhxCtu/PxHaT/lg6vb71g94Kd3OUQwbDa/ubNGDMGEAHgZQCJAC4DGMU5v/3EOm8ACOCcT6/OtgMCAnhQUFCt6lO3vSF78dq+1zA1YCrW9lsrWx28uAQhI8KQeiQV7c61g+3zunFnk9aUlgLGYh8iTshKQLv17eBq44qLky6ijqkWb53UgXxkRfmopoZs0o6l4Wb/m3B50wXNftSz60xo7EhijAVzzgMqW08dR04CAURxzmM450UAdgEYqIbtAqmpatmMutx+cBsTDk9AJ9dOWNV7lay1sC0/w2ezDyw8LHB71G0UpxXLWo9wNm+Wu4JKudm6YdvgbbiefB2zfp+l3Z3rQD6yonxUq2U2BYkFCB0Xirpt6sJrjZd+NSYAjR01UceRk2EAenPO3yz7+1gAHZ88SlJ25GQZgAdQHmWZwzmv8GlojLHJACYDgLujo3/cmDHlVwgMVN5HvncvMGEC8M47z25k0SLg+HGgWzcgOBg4fbr88i5dlMuOHQNGjAAWLHh2G8uWAbt3A/36AefOIfvCKXSw3oVMVogrOa+j0UsDlDMBnjunrKei28e++ko5UIcPV9Zz6VL55b16AT4+yhq7dQOWLi2/3MgIWLkSWLsWmDhRWc+1a8plhYWAuTmyvfvj6mxjOLQrQcsDvmBffVV+GxYWyn/LqlXAjBnKekJCyq8zZAhgbw8kJirrWb26/HIbG2DxYmUt8+Yp64l86lTEyJGAmRmQng64uQHr1pVfXq8e8OGHj7exahUQF1d+nXHjgKIi5Ye9PbBxY/nlLi7A/PnA118Dc+cCX34J3LtXfp1Jk4CMDOU2HByArVvLL/fwAGbPflzHkiVAWlr5daZOBRISlK8vKgJ27Sq/3NsbmDbt8TY++QTIzi6/zqxZQFgY4OqqrOfAU5Ov+fkpx++aNVjY6gE+v/A5tub1wthi38frvPuucmw0b66s5+jR8tto21Y5fjdtUtYzbx6gUJRfZ+FC5Rj191fWc+KE8utl40eu99Mzj5Xv3l3e99Mj/fsrx++VK0DXrsCKFeWXG+r7ycxM+bF16+OxA1T7/aR4WIjrr91F7gNb+L9+Fpb2eWp/P2H2bOUYLCgov44m30+PBAYCzz8P/PEHvZ+Ax++n8HBlPStWgK1aVaUjJ+Cc1+oDwDAAG574+1gA3z21Tj0A5mWfvwXgdFW27d+kCReBQqHgI/aO4MaLjfm52HNyl6P0yy//fZqwOoGfwRkevzJexoIE80Q+oisuLebdNnfjlksteUhKiHZ2qkP5yILyUa0W2UQviOZncIbf33FfjQUJhsaOJABBvAo//9VxWucugCcfG+la9rUnG6A0zvmjSR02AKjaVaR5eWoor/Y2Xd2E3SG78dlLn6GrR1e5y1F6osttNKMRHAc5Iua9GGRfypZ4kQF5+rcAgZkYmWDn0J2wMrPCsD3DkFekhXGvQ/nIgvJRrYbZpJ9IR/yyeLi86QLn153VXJRAaOyohTqak8sAvBljTRhjZgBGAjjy5AqMMZcn/joAQKga9qsVtx/cxozfZqBn0554r8t7cpdTIcYYmm9qDrNGZrg94jaKM+n6E13jYu2CnUN3Iiw1DFOPTaVbxIleKUwqROjYUNRtWRdeq73kLofogFo3J5zzEgDTAZyAsunYwzkPYYx9yhgbULbaTMZYCGPsOoCZAN6o7X61Ib84HyP2jYCVmRW2DtoKIybutDCm9qbw2+2HwsRChE8Kpx9uOqh7k+5Y/OJibLuxDRuvbqz8BYToAF7KETo6FKV5pWixp4VuPmmYaJ2JOjbCOT8O4PhTX/v4ic8XAKjgqh6xzftjHm6l3MJvo3+Di7VL5S+QmU1HGzRd3hTR70Tj7vd34TrdVe6SSDUt7LoQFxIuYPrx6QhoGIC2DdrKXRIhtRL7aSwyz2bC52cf1PWtK3c5REeIeygAkPWpxPtv78e6oHV497l30durt2x1qNSrV4Vfdp3jCod+DoieF42cKzlaLkogKvIRnREzwvbB2+Fo6Yjhe4cju1BD1xDpaD5aQ/moVo1sMk5nIO6zODiPd0aD8Q00WJRAaOyohdjNiYU80xnHZcbhzV/fRIeGHTT+QL8a8/Gp8MvMiMF3iy/M6psh5LUQlGSXaLkwQajIRxc41XXCrmG7cCfjDqYcnaKZU3Q6nI9WUD6qVTGbouQihI4OhWVzSzT7vpmGixIIjR21ELs5keFuneLSYozaPwoKrsCuYbtgZmym9RqqJDhY5SLTeqbw3emLgtgChE820OtPJPLRBV3cu2Dxi4ux89ZO7Li5Q/070PF8NI7yUa0K2fBSjtAxoSjJLFFeZ1LXgK4zobGjFmI3J9bWWt/lorOLcDHxItb3X4+m9k21vv8q69ZNcrFdFzs0+awJHux+gHs/3ZNcVy9Vko8ueL/L+3jB/QVMOzYNMRkx6t24HuSjUZSPalXIJn55PDL+zIDXGi9YtbLSQlECobGjFmI3J0/PVqhhp2JOYdmFZZjUbhJGthyp1X1X29Oz9VXA/T132L9ij8iZkci9lauFogRShXxEZ2xkjG2Dt8GIGWHMgTEoUajxFJ0e5KNRlI9qlWST9b8s3Pn4Duq/Xh8uk8S/kUDtaOyohdjNiRal5KVgzMEx8HH0wereqyt/gQ5gRgy+23xhYmuC0NGhUBQqKn8REYqHnQd+6P8DLiZexNLz9J8eEVtJdglCx4bCwsMCzdbp2QP9iFZRcwJAwRUYf2g8MvIzsHvYbtQ105/b3czqm6H5xubIu5GHOx/ekbscUgMjW47E2NZj8en5T/F3wt9yl0OISpEzI1EQVwDf7b4wsVHLTBXEQFFzAmDVP6vwe9Tv+KbXN2jl3EructTOsb8jGk5piISVCcg4nSF3OaQGvuv7HTxsPTD6wGjN3V5MSC2k7E1B8pZkeCz0gO1z8k0DQfSD2M2JFg4J3ky+iQWnFmBg84GYEjBF4/tTG6Pqfes8V3qiTrM6CBsfhuIMA5jevpr5iM7G3AY7huxAQlYC3j7+du03qGf5qB3lo1oF2RTeLUTEWxGwDrSGx0ceMhQlEBo7asFEvs00ICCABwUFaWz7hSWF6PBTByTnJePW1FtwquuksX2JIDsoG1c7X4XjUEe02NmCzgfroMVnF2PRuUXYMWQHXm/1utzlEAKu4LjR6way/s5CwLUAWHpbyl0SERhjLJhzHlDZemK3eA8eaHTzH535CDdTbmLTgE2615isXVvtl9gE2KDx4sZ4sPsBkncka6AogdQgH12wsOtCPOf2HKYem4rYzNiab0hP81Ebyke1p7JJ/DZRedvwKi9qTAAaO2oi9pETf38epKEJbc7FnsNLW17CZP/J+KH/DxrZh0YVFNRoBl1eynG121Xk3cxDwPUA1GlcRwPFCaCG+eiCOxl30OaHNmjt3Bpn3zgLE6MaXHiox/moBeWj2hPZ5N7MRXCHYDj0ckDLQy3paCxAY6cS+nHkJD1dI5vNKsjCuEPj4Ongia9e+Uoj+9C43btr9DJmrLy9GBwIGxcGXipuc1orNcxHFzSxb4K1/dbifwn/w/ILy2u2ET3ORy0oH9XKsiktKEXo6FCY2Jmg+Ybm1Jg8QmNHLcRuTh4+1MhmZ/0+C4nZidg2eBuszHR09sJr12r80jpN6sD7e29k/ZWF+BXx6qtJJLXIRxeMaT0Gr7d6HYvOLsI/if9UfwN6nk+tUT6qlWVz58M7yLuZB59NPjBzEvQxH3KgsaMWYjcnGrD/9n5sub4FC19YiE6uneQuRzbOY5zh9JoTYj+KNeynF+uwtX3XwtXGFWMOjEFekfafQ0UMV8apDCSuTETDaQ1Rr289ucshesigmpN7Offw1tG34O/ij4+6fiR3ObJijKHZumYwdTbF7ddvo/RhqdwlkWqytbDFlkFbEJ0Rjfkn58tdDjEQxQWmCB0fijrN68Bzhafc5RA9ZTDNCecck45MQl5xHrYP2Q5TY1O5S5KdqYMpfLf4Ij88H9HvRstdDqmBbo27YXbH2VgbtBYno0/KXQ7Rc5xzRJxqg+LkYrTY0QLGlgb0tGGiVWI3J3Z2atvU+uD1+C3qN6x4eQV8HH3Utl3Z9O+vls3Y97CH61xXJK1NQtpvaWrZphDUlI8u+LzH5/Bx9MHEIxORWZBZtRcZUD41QvlUKHlHMh5ENkLjTxvD2l/7T43XCTR21ELs5sRUPUc3ItIiMO+PeXjF8xVM6zBNLduUnZub2jbVZGkTWPpZIvzNcP2ZPVaN+YiujmkdbB20Ffdy7mHW77Oq9iIDyqdGKJ9nFN4tROT0SNi0M4X7fHe5yxEXjR21ELs5KSys9SZKFCUYe3AszI3NsWnAJhgxsf/JVRYerrZNGVsYw3eLL4pTihE1M0pt25WVGvPRBR0adcAHL3yArde34lDYocpfYGD5VBvlUw7nHOFvhoMXc/i8lQFmTLcNq0RjRy3E/kltWfvZBj//63NcunsJ6/uvRyObRmooShD+/mrdnLW/NdwXuiN5ezIeHNTszLxaoeZ8dMGHXT9EuwbtMPnXyXiQV8n30ADzqRbKp5x7G+8h/fd0NP2iKSxfbS93OWKjsaMWYjcn9+/X6uVX7l3BZ+c/w+utXsdwv+FqKkoQK1aofZMeCz1g1c4KEW9FoOhBkdq3r1UayEd0ZsZm2Dp4K7IKszDl2BRIzv5sgPlUC+Xzn/zYfETPiYZddzs0mtaIsqkM5aMWYjcntVBYUog3Dr0BJ0snrOmzRu5ydIKRqRF8tvigJKsEkdMipX+4ESG1rN8Sn730GQ6EHsCOmzvkLofoOK7gCJ8YDjDAZ5MPmBGdziHaobfNyWfnP8PNlJv46dWf4FDHQe5ydIZVKyvlwwH3PUDK7hS5yyE1MK/zPDzn9hymH5+OxOxEucshOuzu93eReSYTnl97wsKDnhdDtEcvm5PLdy9j+YXlmNB2Avo16yd3OTrH7R03WHe0RuS0SBTeq/1FyUS7jI2MsWXQFhQrivHmkTfpCBipkYeRDxHzXgwc+jjAZZKL3OUQAyN2c2JU/fIKSgow/tB4uFi74OteX2ugKEFo8KmXRiZG8N3iC0W+AhGTI3Tzh5uBPxXUy8ELK15egRPRJ7A+eP2zKxh4PpUy8Hx4KUfY+DAYmRs9+1A/A8+mUpSPWjCRf/AEBATwoKCgar3mvZPv4cu/v8Tvo39HL69eGqrMMCSsSkD0nGg039wcLm/Qb066hnOOXtt74e+Ev3F9ynV4OtBU46Rq4lfEI2Z+DHy3+8J5tLPc5RA9whgL5pwHVLae2EdOkpOrtfrFhIv46uJX+L/2/6f/jcmqVRrfhetMV9h2tUXUrCgUJBRofH9qpYV8RMcYw8YBG2FiZII3Dr+BUsUTz0+ifKQZcD55IXm48+EdOA52RP3X6z+7ggFnUyWUj1rozZGT/OJ8tF3fFoUlhbg59SaszfV8auXSUsBY88+1yI/Jx+XWl2Hb2Rat/2hd/vCuyLSUjy7Ycm0L3jj8Br7p9Q1md5qt/CLlI81A81EUK3Cl8xUUxhWiQ0gHmNU3e3YlA82myigfSfpx5CQ1tcqrLjy9EBFpEdg4YKP+NyYAsHmzVnZTp2kdeH7liYw/M5D0Q5JW9qkWWspHF4xrMw79vPvhg1MfIDItUvlFykeageYTvzweucG5aPZDs4obE8Bgs6kyykctxG5O8vOrtNpfcX9h1T+rMC1gGno07aHhogQREqK1XTV8qyHsX7ZH9LvRyI+u2vdEdlrMR3SMMfz46o8wNzHHxCMToeAKyqcyBphPztUcxH0ah/qj6sNpqJPqFQ0wm2qhfNRC7OakCvKK8jDh8AQ0tmuML17+Qu5y9BJjDM03NgczZgibFAauEPdUIKlYQ+uGWNVrFS7EX8Caf2lSQlKeokiBsDfCYOpoCu/vvOUuhxDdb04WnFqA6IxobB64GVZmVnKXo7cs3Czg9Y0Xss5lIWmdDp3eIf95dHpnwakFiDTKkLscIpC4z+OQdyMPzX5sBlMH9TwNnpDa0Onm5GzsWay5tAazOs5Ct8bd5C5H7zWY0AD2vewR/V408mN05PQO+Q9jDOv7r4eZsRkmWp5Unt4hBi/nWg7il8bDeYwzHF91lLscQgCI3pzY26tclFuUiwmHJ8DLwQuf9/hci0UJYsgQre+SMYbmPzUHM2IInxQu9ukdGfLRBY1sGmF179W4YJJEp3ekGMj4URQrT+eY1DOB12qvqr3IQLKpMcpHLcRuTiRux3r/z/cRlxmHzQM3w9LUUotFCUKicdMkCzcLeK70RObZTCStF/j0jkz56IJxbcahX4OuWHBqAaLSo+QuR0wGMn7il8Uj73oemv1QjdM5BpJNjVE+aiF2c1JcXOGXz8Wew/eXv8esjrPQxb2LlosSRKJ8D3RzedMF9j3tETM/Bvmxgp7ekTEf0THGsN7l/5Sndw5PpNM7FTGA8ZN7IxdxS8ruzhkkcXfO0wwgm1qhfNRC7OakgmcU5BXlYeKRifC098TSHktlKEoQPj6y7ZoxhuYbmgMAwt8MF/PZOzLmowsate6CVb1X4a/4v/Ddpe/kLkc8ej5+FMUKhE0Ig4m9Cby+reLpnEf0PJtao3zUQuzmpILp6xeeXoiYjBhsHLDRME/nPLJ6tay7t/CwgOdXnsg8lYl7P92TtZYKyZyP8Favxvg249HXuy/e//N9Or3zND0fPwlfJiD3Si6arWsGM0cVk62poufZ1BrloxZiNydPuRB/Ad/++y2md5hOd+cIwGWyC+y62yF6XjQK4nTs2TtEOTlb/x/p9I6Byb2Vi9jFsXB6zQlOQ6pxOocQLdKZ5uRh8UNMPDwRje0aY1nPZXKXQ/B4cjbOOcL/T9DTO0RSI5tGdHrHgChKyu7OsTWhydaI0HSmOfn4zMeITI/EhgEbaLI1gdRpXAeeKzyRcTID9zYKeHqHVOrJ0zvR6dFyl0M0KGFFAnKDc+G91htmTtU8nUOIFondnJTdSnwx4SK+vvg1pvhPQfcm3WUuShA2NnJX8J+GbzWE3Utlp3cSBDm9I1A+Qnoin0end0yNTTHpyCQ6vQPo5fjJu52H2EWxcBrmhPrD69d8Q3qYjVpRPmrBRD4UHxAQwP+6+BfarW+H/JJ83Jp6yzCeOKyD8mPycbnVZdh1tUOr463AGJO7JFJNG69sxJu/vonv+36PaR2myV0OUSNFiQJXn7+K/Oh8BN4OVP3EYUI0jDEWzDkPqGw9sY+cJCdj0dlFCE8Lx4ZXN1Bj8qSVK+WuoJw6Teug6RdNkf57Ou5vvi93OcLlI5wK8pnYbiJe8XwF80/OR2xmrPZrEomejZ/ErxORcykH3t95174x0bNs1I7yUQu1HDlhjPUGsBqAMYANnPPlTy03B7AVgD+ANAAjOOexlW3Xt40vjxgagYltJ+KnAT/Vuk6iWVzBce2la8i9novAkECYNzKXuyRSTfFZ8fBb64dOrp3wx5g/6AiYHsgLy0NQ2yDU61sPfvv96HtKZKW1IyeMMWMA3wPoA6AFgFGMsRZPrTYJQAbn3AvANwC+qMq2Y1Oj0NC6Ib565avalql/1q6Vu4JnMKOyu3eKOMLfkvnuHQHzEYqKfNxt3bHi5RX4M+ZPbLiyQctFCURPxg8v5QifEA7jusbwXuutnsZET7LRGMpHLdRxWicQQBTnPIZzXgRgF4CBT60zEMCWss/3AejBqvAuKeAl+OnVn2BrYauGMvVMZKTcFVTI0ssSTT5vgvRj6Uje/uwkelojaD7CkMhnsv9kvNT4Jcz7Yx4SshK0WJRA9GT8JK5ORPY/2fBa7QXzBmo6kqkn2WiMGvNRcAUSsw1zOnx1NCeNADz5P1hi2dcqXIdzXgIgC0C9yjZcj1ugt1dvNZRItMl1hitsnrNB1KwoFN4rlLscUk1GzAgbBmxAKS/F5KOTaf4aHfUw8iHuLLyDeq/Wg/NoZ7nLITWwPmg9fL7zQeiDULlL0ToTuQt4GmNsMoDJAOBqaQHMmVN+hcBAoG9fYO9eYMIE4J13nt3IokXA8eNAt25AcDBw+nT55V26KJcdOwaMGAEsWPDsNpYtA3bvBvr1A86dAy5cKL+8e3fA31+5rG9f5T6f9tVXwObNwPDhynouXSq/vFcv5XMYgoOV9Sx96llBRkbKi6vWrgUmTlTWc+2actm5c8ps+vcH3NyA8HBlPStWlN+GhYXy37JqFTBjhrKekJDy6wwZonySZmKisp6np1+2sQEWL1bWMm+esp6nfzsYORIwMwPS08Hc3ODjdRBB/76IyBcOwK//JTDHesCHHz7exqpVQFxc+W2MGwcUFSk/7O2BjRvLL3dxAebPB77+Gpg7F/jyS+DeU3OrTJoEZGQov371KrB1a/nlHh7A7NmP61iyBEhLK7/O1KlAQgLg4KCsZdeu8su9vYFp0x5v45NPgOzs8uvMmgWEhQGursp6Dhwov9zPTzl+16xR1rNgAVDw1G3Y776rHBvNmyvrOXq0/PK2bZXjd9MmZT3z5gGKp24DXrhQOVb8/ZX1nDih/Pqj8aPi/dQUwHKzQMyM+h0/X1yLCXEO+v1+euTR+ykmBkhKEuL9BDc3YN268svrSb+fOAfCzw+BkakCzSZkgIWE1O79ZGam/Ni69fHYAej99Oj99EhgIFBYCGzYUOufT7GHfsb8B4vx3MN68Pl8PYAnTjbo2vtJ1c8nKZzzWn0A6AzgxBN/XwBgwVPrnADQuexzEwCpKLsYV+rDv359TlSYPVvuCioVtyKOn8EZfn/nfe3vXAfykVUV8ilVlPIXNr3AbZfZ8sSsRC0UJRAdHz8J3ybwMzjDkzYnqX/jOp6NxqkhH4VCwXtu7cmtPrfisRmxaihKHACCeBV6C3Wc1rkMwJsx1oQxZgZgJIAjT61zBMD4ss+HAThdVqQ0Bwc1lKenRo6Uu4JKuc1xg3VHa0ROj0RRcpF2d64D+ciqCvkYMSNsHLARhaWFmHJsimGd3tHh8ZMfk4+Y92Pg0McBDcY3UP8OdDgbrVBDPhuubMCfMX9ixcsr4GHnoYaidE+tmxOuvIZkOpRHR0IB7OGchzDGPmWMDShbbSOAeoyxKABzAbxfpY3TLW+qmYk/iRIzZvDZ5IPSnFJETtfyRXQ6kI+sqpiPdz1vLO2+FEcjjmLHzR0aLkogOjp+uIIj/M1wMGOGZuubaea2YR3NRmtqmU98Vjzm/TEPLzV+CZP9J6upKN2jlknYOOfHOefNOOeenPOlZV/7mHN+pOzzAs75cM65F+c8kHMeU6UNl5aqozz9lJ4udwVVUrdFXTRe1BgP9j1Ayr4U7e1YR/KRTTXymdVxFjq7dsbM32bifq4AE+xpg46On6Qfk5B5JhOeKz1h4WahmZ3oaDZaU4t8OOeY/OtkKLgCGwdshBETe55UTRL7X25qKncF4nJzk7uCKnN71w1W/laInBaJolQtnd7RoXxkUY18jI2MsWngJjwsfohpx6YZxukdHRw/BXEFiHk3BvY97eHypovmdqSD2WhVLfL5+drPOBF9Ast7LkcT+yZqLEr3iN2cPHggdwXievrqfYEZmRjBZ7MPSjJLEDUzSjs71aF8ZFHNfHwcfbD4xcU4GHYQu0N2a6gogejY+OGcI/z/wgEAzTc01+wssDqWjdbVMJ+72Xcx58QcdPXoSs+2gujNCdEbVq2s4PGhB1J2piD1cKrc5ZAamPfcPAQ2CsT049ORkqfFU3SkUvc33UfGyQw0/bIpLDw0dDqHaAznHG8dfQtFpUUGfzrnEUqAaI37AnfUbVMXEVMiUJxeLHc5pJpMjEyweeBm5BTlGM7pHR1QkFiAqLlRsHvRDg3faih3OaQGtt/YjmORx/B5j8/h5eAldzlCoOaEaI2RqfL0TnFqMaJma+n0DlGrFk4tsPjFxdgfuh97b++VuxyDxzlHxFsR4CUczTc2BzOiOxx1zb2ce5j5+0w85/YcZgTOkLscYYjdnJgIN4GtOOpVOvu/kKzbWcN9gTuStyUj9VcNnt7R0Xy0phb5vPPcO+jQsAPePv62/p7e0ZHxc3/LfaQfT0fTZU1Rp2kd7exUR7KRTTXy4ZxjyrEpKCgpwKYBm2BsZKzBwnQLE/nQbEBAAA8KCpK7DKJmiiIFgjsEo/hBMTqEdICpPd2VpWtuP7iNduvbYUDzAdg7nI6gyKHwbiEu+V2CVRsrtD3Tlo6a6KBfbv6C0QdGY8XLK/DOcxVMda+HGGPBnPOAytYT+8hJsoxPtRXdypVyV1BjRmZG8PnZB8UPihE1S0Ond3Q4H62oZT6PTu/su70Pe0L2qKkogQg+fh7dncOLOXw2+2i3MRE8G9lVMZ/k3GTM+G0GOrl2wpxOcyp/gYGhIydENnc+uYO4T+PQ8nBLOA5wlLscUk0lihI8t/E53Mm8g5BpIahft77cJRmMe5vuIXxSOLzWeMF1uqvc5ZBq4pxj2N5hOBZxDFffugpfJ1+5S9IaOnKi71atkruCWvNY6KG8e+ctDdy9owf5aJQa8nl09052YTamH59e+5pEIvD4KUgoQNQc5d05jaY10n4BAmcjhCrks+vWLhwIPYDFLy42qMakOsRuToq0/LA4XfLE49F11X+nd1KLETlTzc/e0YN8NEpN+fjV98Oibouw9/Ze7A3Ro2tPBB0//53OKZXx7hxBsxFGJfncy7mHt4+/jU6unQzmOpOaELs5IXrPuq21cnK2HSl4cIhmBNZF7z7/LgIaBmDa8Wl4kEffQ026v+k+Mk5kwPNLT+3dnUPU5tFka/kl+fh54M90d44Eak6I7Nw/cIdVWyvl5GxpNDmbrnny9M7bx9+Wuxy9VRBfdjrnJTs0nEKTremibTe24deIX7G0+1I0d2wudzlCo+aEyM7IVHl6pyStBJEz1Hx6h2hFy/ot8Um3T/Tv9I4gOOcIfzMcXEGTremqu9l3MfO3mXje7XnM6jhL7nKEJ3ZzQpP9qDZunNwVqJVVGyt4fKx89s6Dg2o4NaBn+aidBvKZ//x8+Lv44+3jb+v+6R3Bxs+9DfeQcTIDnl95ok4TmU/nCJaNcCrIh3OO//v1/1BUWoSfB9HpnKoQuzkR+DZn2enhxcLu77vDqr3y9E5Rai3/fXqYj1ppIB8TIxP8POhnZBVmYdpxHX/2jkDjpyCuANHzomHXQ5Bn5wiUjZAqyGfztc34Leo3fNHzC3p2ThVRc6Kr9PA/iP9O72SUIHJ6LU/v6GE+aqWhfFrWb/nf5Gw7b+3UyD60QpDx8+h0Djjgs9EHjAlwOkeQbIT1VD7xWfGYc2IOunl0w9uBdE1WVYndnBjToS+V7O3lrkAjrFopT+882P0AD/bX4tSAnuajNhrM593n3kVn1854+/jbSMpJ0th+NEqQ8XPvx3vI+FN5OsfCw0LucpQEyUZYT+TDOcebR95EqaIUmwZughET+0euSMROKlWDD4bTdRs3yl2Bxri/5w4rfytETI1AUUoNf0vT43zUQoP5GBsZY8ugLSgsKcSkI5N08/SOAOMnPzYf0e9Ew76nPVwmu8hdzmMCZCO0J/L5MfhHnIw5iRUvr0BT+6YyFqV7xG5OiEH67/ROVgkipkTo5g83A+ddzxtfvvwlfo/6HT9d+UnucnQOV3CEjQ8DjKC8O0eE0zmkWu5k3MG8P+ahZ9OemBIwRe5ydA41J0RIVi2t0GRpE6QeTEXyVnqMgS6a1mEaejTpgbkn5iImI0bucnRK4jeJyDqfBe9vvWHhLsjpHFJlCq7ApCOTYMSMsOHVDdRc1gA1J0RYbnPcYNvVFpEzI1EQVyB3OaSajJgRNg3cBGMjY0w4PAEKrpC7JJ2QeysXMR/EwHGwI5zHOctdDqmBdZfX4UzsGXzd62t42HnIXY5OErs5MTWVuwJxuQh0DlpDmDGDz88+gAIImxAGrqjG6R0DyKdWtJSPu607VvdejfNx57Hqn1Va2adayDR+FEUKhI0Ng4mdCZqtbybmb9z03pIU4WyCd0++i16evTCp3SS5y9FZTOTz+QEBATwoKEjuMojM7m28h/A3w+H5jSfcZrvJXQ6pJs45Bu0ehBNRJwzu8fDVFfNhDOKXxqPl4ZZwHOAodzmkmopLi/H8pucRlR6FW9NuoaG1APPSCIYxFsw5D6hsPbGPnCTTtQYqff213BVoTYOJDVDv1XqIeT8GebfzqvYiA8qnRrSYD2MMP/b/Edbm1hh3aByKS3Xg+UkyjJ+si1mIXxaPBhMbiN2Y0HtLpc//+hyXky5jff/11JjUEh05ITqhKLkIl1tehrmHOdpfbA8jU7H7avKsfbf3Yfje4Vj84mJ83O1jucsRSmleKYLaBkFRrECHGx1gYmMid0mkmi7dvYTnNj6HUa1GYdvgbXKXIyz9OHJy/77cFYjryy/lrkCrzJzN0Gx9M+QG5yJuSVzlLzCwfKpNhnyGtRiG11u9js/Of4bgpGCt779atJxP9Pxo5Efnw3eLr/iNCb23npFXlIcxB8agkU0jfBdB09Org9jNSbEOHP6Vy717clegdU5DnOA8zhlxS+OQfSlbemUDzKdaZMrnuz7foX7d+hh/aDwKSgS+A0uL+aSfSEfS2iS4znWFXTc7re23xui99Yx3T76LqPQobBm0Bbb3M+UuRy+I3ZwQ8hSv1V4wb2iO0HGhKH1YKnc5pJrs69hj44CNCHkQgo9OfyR3ObIrTi9G2MQwWLawRJMlTeQuh9TAb5G/YV3QOsztPBcvNn5R7nL0BjUnRKeY2pnCZ7MP8sPzEfM+Teyli3p79cYU/ylYeXElTt85LXc5sop8OxLFKcXw3e4LYwt6lpiuSX2YiolHJqJV/VZY0n2J3OXoFWpOiM6x72GPRrMa4e6au0j/M13uckgNrOy1Es3qNcO4g+OQ9jBN7nJkkbwrGSm7UtB4UWNYt7OWuxxSTZxzvHX0LaTnp2P7kO2wMKGZfNVJ7ObEUeDb6eQ2ybAn92m6rCksfSwRPiEcxRkVXJtk4PlUSuZ8LE0tsXPoTqTkpWDy0cniPT9Jw/kUJhUiclokrDtaw+09HZu7h95bAIBtN7bhQOgBLHlpCVo7t368gPJRC7Gbk1K6pkCljAy5K5CVcR1j+Gz1QdH9ooofDmjg+VRKgHzaubTD5z0+x4HQA9h0dZPc5ZSnwXy4giN0XCgUhQr4bvWFkYnY/w0/Q4CxI7fYzFhMPz4dXT26Ym7nueUXUj5qIfa7QsSpm0VhZiZ3BbKz6WCDxp82xoM9D3B/81O3nVM+0gTJZ27nuejepDtm/j4TEWkRcpfzmAbzSViRgMxTmfBa7QXLZpYa24/GCDJ25FKqKMW4g+MAAFsGbYGx0VPXChl4PupCzYmuojcAAMB9vjvsXrJD5IxIPAx/+HgB5SNNkHyMmBG2DtoKCxMLvL7/dRSVFsldkpKG8sm+nI07H96B0zAnuEzS0WfUCDJ25PL1xa/xV/xfWNNnDRrbNX52BQPPR13Ebk7SDPNCuSrZulXuCoTAjBl8t/nCqI4Rbr9+G4rCsiffUj7SBMqnkU0jbHh1A4LvBWPR2UVyl6OkgXxKckpwe9RtmDU0Q7MfBX2oX1UINHa0LTgpGAtPL8QQ3yEY12ZcxSsZcD7qJHZzQkgVmDcyh89GH+ReyUXMQrq9WBcN9h2MN9u9ieUXluNs7Fm5y9GIyOmRKLhTAN/tvjC1pyeu65qcwhyM3D8SzlbO+LH/j7rbXOoIak6IXnAc6IiGUxsicWUi0k/Q7cW66Jve38DLwQtjD45FRr5+XVSY/Esykrcmw+NDD9i9YCd3OaQG3j7+NmIyYvDLkF9Qz7Ke3OXoPWpOiN7wXOkJSz9LhI4PRdFDOu+ra6zMrPDL0F9wP/c+3jr6lni3F9dQfkw+IqZEwOZ5G3h85CF3OaQGtl7fim03tuGTbp/gBY8X5C7HIIjdnNCFRap50H9yTzOuY4wWO1ugJLMEYX89D67Qjx9uGiHo+AloGIDPXvoMe2/vxZbrW+QrRE35KIoVuP36bcAIaLGjhe7dNlwRQceOpkSkRWDasWno5tENC19YWPkLDCwfTWEi/3YSEBDAg4KC5C6D6Ji7399F5PRIeH7jCbfZOjbBFUGpohQ9tvZAUFIQrk25Bi8H3X3Ka8zCGMR/Ho8Wu1ug/mv15S6HVFNhSSE6beyEhKwEXJ9yHY1sGsldks5jjAVzzgMqW0/sNj45We4KxLVypdwVCKvhtIao55eJmPdikHM1R+5yxCTw+DE2Msa2wdtgamwq3+3Fasgn40wG4pfFo8HEBvrVmAg8dtRt/sn5uHb/Gn4e9HPVGxMDykeT6MgJ0UtFqUUIah0EE1sT+Af5w7guPVRN1+y/vR/D9g7D7I6z8U3vb+Qup1qK04pxuc1lGNc1hn+wP0ysTOQuiVTTkfAjGLhrIGZ1nIVVvVfJXY7e0I8jJ/fuyV2BuJbQEzClmP3wJXy3+eJh+ENEzYmSuxzx6MD4GdpiKGYGzsSqf1fhQOgB7e68FvlwzhH+ZjiKU4rRYmcL/WtMdGDs1FZidiImHJ6Adg3a4YueX1TvxQaQjzaI3ZyUlMhdgbhogjppaWmw72EPt/luuPfTPaTsTZG7IrHoyPhZ8coKBDYKxITDExCdHq29Hdcin6QfkpB6KBVNlzWFdXs9fNqwjoydmipVlGL0gdEoKi3C7mG7YW5iXr0N6Hk+2iJ2c0JILTX5rAmsO1ojfFI4HkY8rPwFRChmxmbYPWw3jJkxhu8djoKSArlLkpQdlI2o2VFw6O0A1zmucpdDamDJ+SU4H3cea/uuhXc9b7nLMVi1ak4YYw6MsZOMsciyP+1VrFfKGLtW9nGkNvskpDqMTI3gt9cPzIwhZGgISvPoSde6prFdY2wdvBVX71/FnN/nyF2OSsVpxQgZFgKzBmbw3e4LZkQziOqac7Hn8On5TzGuzTiMbTNW7nIMWm2PnLwP4BTn3BvAqbK/VySfc9627GNALfdJSLVYuFmgxc4WyAvJQ8SUCL2Z3MuQ9G/WH/Ofm48fgn/ALzd/kbucZ3AFR+iYUBTdK4LfPj+Y1qPp6XVN6sNUjD4wGp72nvi+7/dyl2PwatucDATwaKakLQAG1XJ75Tk5qXVzemXqVLkrENtT+Ti87IDGixsjeXsykn5Ikqkogejg+FnSfQm6uHfB5F8nI/RBqGZ3Vs184pbEIf33dHit9oJNBxsNFSUIHRw7lSlRlGDkvpFIfZiKXcN2wcrMquYb08N85FDby8idOeePbqm5D8BZxXoWjLEgACUAlnPOD6naIGNsMoDJAOBuZwfMeeowbmAg0LcvsHcvMGEC8M47z25k0SLg+HGgWzcgOBg4fbr88i5dlMuOHQNGjAAWLHh2G8uWAbt3A/36AefOARculF/evTvg769c1revcp9P++orYPNmYPhwZT2XLpVf3qsX4OOjrLFbN2Dp0vLLjYyU98yvXQtMnKis59o15bL4eMDdHejfH3BzA8LDlfWsWFF+GxYWyn/LqlXAjBnKekJCyq8zZAhgbw8kJirrWb26/HIbG2DxYmUt8+Yp64mMLL/OyJHKGX3T05X1rFtXfnm9esCHHz7exqpVQFxc+XXGjQOKipQf9vbAxo3ll7u4APPnA19/DcydC3z55bN3dE2aBGRkANevA3l55Z4Q6sGBbN+XEDUrCtZhR2CzeqryyvqnL2CbOhVISAAcHJS17NpVfrm3NzBt2uN/yyefANnZ5deZNQsICwNcXZX1HHjqbhM/P+X4XbMGmD1bOQYLnrqe4t13lWOjeXNlPUePll/etq1y/G7apKxn3jxAoSi/zsKFyjHq76+s58QJ5dcfjR8dej+ZfvUVdhUNQFuTUAzf8Ar+TRmIunjiCEVt3k+PPHo/7dmjXKcK76f04ymIPdgZzr6JaBh2GPhLD99PZmbKj61bH48dQDkb6uzZj+vQ0ffThxYXcMoiCJv6rEf7g/8A09pX7/30SGAgYGkJnD8v/PtJoz+fHqns55OESuc5YYz9CaBBBYsWAtjCObd7Yt0Mzvkz150wxhpxzu8yxpoCOA2gB+e80kvvA1q04EG3b1e2mmG6ehVo107uKsSlIp/i9GIEtQ8COOAf7A8zRwN9RIIOj58/ov9A7+29MbbNWPw88GfNPB22ivkUxBcgqH0QzF3M0f7f9jC2NID5dHR47FTk0Xw6U/ynYF3/dZW/oDJ6lo+6qW2eE855T855ywo+DgNIZoy5lO3QBUCF92tyzu+W/RkD4CyAqn3n6NoA1YpkmDVTl6jIx9TBFH77/FB0vwiho0PBSw10jOnw+HnF8xV81PUjbL2+FZuvbdbMTqqQj6JQgZDhIeBFHH77/QyjMQF0euw8LfRBKN44/AY6uXZS30RrepSPnGp7zckRAOPLPh8P4PDTKzDG7Blj5mWfOwJ4HkDVDoekp9eyPD329KFRUp5EPjYBNvBe442MPzIQ+1ms9moSiY6Pn4+7fYzuTbrj7eNv40byDfXvoAr5RM2LQs6lHPj87APLZpbqr0FUOj52HskuzMbg3YNhaWqJfcP3VX8+E1X0JB+51bY5WQ7gZcZYJICeZX8HYyyAMbahbB1fAEGMsesAzkB5zQmdqyGycvk/FziPd0bcp3FI+50mTdI1xkbG+GXIL7CzsMOwPcOQVZCl1f0n/5KMpO+T4DrPFU5D6MJ9XaPgCow/NB5R6VHYM2wPPdBPQLVqTjjnaZzzHpxz77LTP+llXw/inL9Z9vnfnPNWnPM2ZX9ulN4qIZrHGEOztc1Qt1VdhI4ORUGc2JN7kWc5Wzlj97DduJN5B6P2j0KpQjtz2OSF5CH8/8Jh+4Itmi5rqpV9EvX64sIXOBR2CF+98hW6Ne4mdzmkAjRDLDFYxpbG8NvvB17CETIsBIpCReUvIkLp6tEVa/qswW9Rv+H9P1VNs6Q+JdkluDXkFoytjdFidwsYmdJ/obrmj+g/8OGZDzGy5UjM6jhL7nKICmK/syws5K5AXN40rbKkKuZj6WUJny0+yAnKQeSMSMOZoE2Pxs+UgCmYFjANX138Cluuban8BVVRQT5cwRE2IQz50fnw2+0Hcxc1XaOga3R47MRmxmLU/lFo4dQCG17doJk7vXQ4H5FUeiuxnAICAnhQUJDcZRADEPNBDOKXxcPzG0+4zXaTuxxSTcWlxei1vRf+l/A/nB1/Fp3dOqt9HzEfxiB+aTw8V3rCbS6NEV2TX5yP5zc9j5iMGARNDoKXg5fcJRkktd1KLKvkZLkrENfKlXJXILZq5tNkSRM4DnZE9NxopB5N1VBRAtGz8WNqbIq9w/fCzcYNg3cPRkJWQu02+FQ+97fdR/zSeLi86UIP9NPBscM5x9RjU3H1/lVsH7Jds42JDuYjIjpyQkiZ0rxSXO16FfkR+Wj3v3awal2LKayJLG4/uI1OGzrBu543/prwFyxNa3+Lb+aFTFzvcR22XWzR+vfWdJ2JDlr9z2rMPjEbn3T7BIteXCR3OQZNP46cJNEzUFT65BO5KxBbDfIxrmuMVr+2grGtMW6+ehOF9ws1UJgg9HT8tHBqgZ1Dd+LqvauYeHhiza8hKssnPyYfIYNDYNHYAn77/KgxAXRu7BwOO4w5J+ZgkM8gfNztY83vUMfyEZXY77RSery9Sk8/e4KUV8N8zBuao9WRVihOLcatQbdQmq+nY1CPx0+/Zv2wvOdy7A7ZjaV/La38BRXJzkZxZjFu9r8JXsrR6mgrmNrTk4YB6NTYuXz3MkbtH4WAhgHYMWQHjJgWfuTpUD4iE7s5IUQG1u2t4bvDFzmXchA2Icxw7uDRI+8+9y7Gth6Lj858hIOhB6v9eoWC4fZrt5EflQ+/A36w9DagGWD1xJ2MO+i/sz+crZzx66hf1XKKj2gPNSeEVMBpkBOaLm+KB7sfIHZRrNzlkGpijOHHV39EYKNAjD04tlpT3HPOEXW2FTJOZqDZ+mawf/GZZ5kSwWXkZ6DfL/1QVFqE468fh7OVs9wlkWqi5oQQFdzedUODCQ0Q92kcknfQnWO6xsLEAodGHIKthS0G7ByA5NyqfQ/vfncXSTeawG2+G1wmuGi4SqJuRaVFGLJnCKLSo3BwxEH4OvnKXRKpAbGbE2fqdlWaRTMbSlJDPowxNPuhGWy72SJsYhiy/tbu81s0ykDGj4u1Cw6PPIyUvBT02dEH2YXS1wOkHU9D1OwoOL5iSVPTqyLw2OGc480jb+Js7FlsGrgJLzZ+UftFCJyPLhG7OSmg552oFBYmdwViU1M+RmZGaLm/JSzcLXBr0C3kx+arZbuyM6DxE9AwAPtf24+bKTcxYOcAFJRU/P9K7s1c3B55G1ZtrOA7NR3MSAOzh+oDgcfO4nOLse3GNnz20mcY03qMPEUInI8uEbs5MaWr41VyNfCJoCqjxnxM65mi1dFW4MUcN/vdRFFqkdq2LRsDGz99vPtgy6AtOBd3DqP2j0KJoqTc8oKEAtzsfxPG1mW3k3sZVj7VIujY2XJtCxafW4wJbSdg4QsL5StE0Hx0jdjNCd1KrFpGhtwViE3N+Vg2t4TfQT8UxBTgRu8bKMkqqfxFIjPA8fN6q9fxbe9vcSjsEN769a3/7sIqSinC9Z7XUZJZgla/toJ5I3ODzKfKBMzmVMwpvPnrm+jZtCfW91+vmWfmVJWA+egisZsT+iarduCA3BWITQP52L9oD799fsi7noeb/W+iNE+Hm2cDHT8zOs7AR10/wqZrm/D+n++jOKMY11+5jsLEQrQ+3hrW7a2VKxpoPlUiWDYhKSEYumcomtdrjn3D98HUWOYj7oLlo6vEbk4IEUy9fvXgu8MXWX9n4dbgW1AUKuQuiVTT4hcXY4r/FKw5swYnupzAw9CHaHmoJWyft5W7NFJNEWkR6LmtJ+qY1sHx0cdha0HfQ31BzQkh1VT/tfpovqE5Mk5m4PbI21AUU4OiSxhjWP3Savx05CfUCa2D+8vvw+FlB7nLItUUlR6Fl7a8hFJFKU6NOwV3W3e5SyJqRM0JITXgMsEFXt96IfVQqnIWWQXNIqsrFEUKhL0Whka3G+HXt37F6zmv43DYYbnLItVwJ+MOum/pjsKSQpwadwotnFrIXRJRM7Gbkzp15K5AXH5+clcgNi3k4zrDFU2WNkHKjhRETIvQrWnuDXT8KEoUCB0TivTj6Wj2QzMsWb0EAQ0DMGLfCJyLPfd4RQPNp0pkziYuMw4vbXkJuUW5+HPcn2jl3ErWep5BY0ctmMj/oQYEBPCgoCC5yxBTaSlgbCx3FeLSYj4xC2IQvzwervNc4bnCU947BarKAMcPV3CETwrH/Z/vw3OlJ9zmugEAUh+mouvmrribcxenx52Gf0N/g8ynymTMJiErAd1+7oaMggycGncK7V3ay1KHJBo7khhjwZzzgMrWE/vISTJNGa7SmjVyVyA2LebT5PMmaDS9ERJXJiLu0zit7bdWDGz8cM4RNSsK93++j8aLGv/XmACAo6UjTow5AXsLe/TY2gP/i/+fweVTLTJlczf7Lrpv7Y60/DT8MeYPMRsTgMaOmtCRE0LUoNxv5V95wm2eW+UvIloT80EM4pdJH92Kz4pHz609cTfnLg6NOISXPV+WoVJSkXs59/DilheRlJOEP8b8gc5uneUuidSQfhw5uXtX7grEtWCB3BWITcv5MCOGZj81g9MwJ0S/E424pXFiX4NiIOOHKzii5kUhflk8XN5ykTzt5m7rjr8m/AUvBy/039YHB0MParlaHaHlsZOcm4weW3vgbvZd/Db6N/EbEwN5b2ma2M2Jgm7RVImeOyRNhnyMTIzg+4svnMc4486HdxA1M0rcu3gMYPwoihQIHReKxK8T0WhGIzRb26zS64GcrZxxdvxZtCt1wvC9w7H9xnYtVatDtDh2HuQ9QI+tPRCbGYtjrx9DF/cuWtt3jRnAe0sbTOQugBB9YmRqBJ8tPjB1NkXiykQUpRTBd6svjMzF/j1A35TkliBkWAgyTmSgyedN4P6+e5UvVLavY4+TuUMwsG0oxh4ci5zCHEztMFXDFZOnxWXGoe8vfRGTEYNjrx9Dt8bd5C6JaBE1J4SoGTNi8PrKC2YNzBDzbgyKU4vR8mBLmNjQ200bih4U4Wa/m8gJzkHzjc3hMtGl2tuwhhmOjz6O4XuHY9rxacguzMZ7Xd7TQLWkIsFJwei/sz8eFj/EsdePoXuT7nKXRLSMfp0jREPc33GHzxYfZJ7LxLUXr6EoWQ+eZiy4/Nh8XH3+KvJu5qHlwZY1akwesTCxwIHXDmBky5F4/9T7WHhqodjXEemJX8N/Rdefu8LM2Ax/T/ybGhMDJfbdOm3a8KDr1+UuQ0xJSUDDhnJXIS6B8kn7LQ0hw0Jg5mKGNifaoI6nAJMLCpSPuuTeyMWN3jegyFeg1dFWtXtWzhP5lCpKMfXYVPx05SdM7zAdq/ushhEz4N/rNDh2vr/0PWb+PhPtXdrj11G/ooFVA43sR6P08L2lTvpxt87Dh3JXIK7gYLkrEJtA+dTrUw9tT7dFSWYJrjx3BTlXc+QuSah81CHzXCaudr0KGAHtLrSr/UP8nsjH2MgY6/uvx7zO8/Dd5e8w+sBoPCw24P+bNDB2ShWlmHtiLqb/Nh39m/XH2fFndbMxAfTuvSUXsZsTc3O5KxBX8+ZyVyA2wfKx6WiDdhfawcjCCNe6XUPG6Qx5CxIsn9p4cOABrve6DnMXc7T/uz3q+tWt/UafyocxhhUvr8CyHsuw+9ZudN7YGdHp0bXfjy5S89h5WPwQw/cOxzf/fIOZgTNx4LUDqGumhu+hXPTovSUnsZuT4mK5KxBXQoLcFYhNwHzq+tRF+7/bw8LDAjd630DS+iT5rmEQMJ/q4gqO+C/jETI8BNbtrNHuQjtYuFuoZ+MV5MMYw/td3sfx0ceRkJWAgJ8CcCzimHr2p0vUOHZS8lLw0paXcCjsEFb1WoXVfVbD2EjHp37Xg/eWCMRuTjIz5a5AXEePyl2B2ATNx7yROdqebwu77naImBKB26NuoyS7RPuFCJpPVT26IyfmvRg4DXVCmz/bwLSeqfp2IJFPb6/eCJ4cjMZ2jdF/Z38sOrsICm5AczKpaeyEpYah04ZOuJl8EwdGHMCsTrPUsl3Z6fh7SxRiNyeE6CFTe1O0Pt4aTZc3xYN9DxDUPgg5wQJch6IjMs9lIqhtEDLOZMB7nTda7G4B47ra/W27iX0T/D3xb4xvMx6Lzy3GqztfRUa+zKfqdMgvN39Bpw2dkFech3NvnMMgn0Fyl0QEQ80JITJgRgzu77mj3fl24EUcVzpfQeK3iXSrqgReyhH7WSyudb8GYytj+P/rj0ZTGsn2FOg6pnWweeBmrOu3DiejTyLgpwBcv093F0rJyM/AqP2jMPrAaPjV98O/b/6LDo06yF0WERA1J4TIyPY5WwRcDYBDbwdEzYrCrcG3UJxO11o9rfBeIa6/ch2xH8fC+XVn+Af7w6qNldxlgTGGKQFTcH7CeRSWFKLzxs405b0Kp++cRusfWmPf7X1Y8tISnHvjHBrbNZa7LCIosZsTS0u5KxBX27ZyVyA2HcrHtJ4pWh5uCc9vPJF+PB1B7YKQdTFLszvVoXzST6YjqG0Qsi9mo/mm5vDZ6gMTKw3PtlvNfDq5dkLw5GAENgrE2INjMfXoVOQU6umpumpmU1BSgHkn5qHH1h6wNLXExUkXsbDrQpgY6emMyTr03hKZ2JOw+fvzILpnvGIFBYCFmu5M0Ec6mk/25WzcHnEbBfEFaPp5U7i94wZmpIHTFjqQj6JEgdhPYhG/LB6WLSzht8cPdVto6RbTGuZToijBgj8XYOXFlXCxdsGqXqswrMUw2U49aUQ1srmZfBOjD4zGzZSbmBowFSteXqHbtwlXhQ68t+SkH5OwpabKXYG4Nm2SuwKx6Wg+Nh1sEHA1AE6DnRDzXgyudrmK7EvZ6t+R4PlknM3AlQ5XEP95PFwmucD/kr/2GhOgxvmYGJlgxSsr8M+b/8C5rjNe2/ca+uzog6j0KDUXKKMqZKPgCqz8eyUCfgpASl4Kjr1+DGv7rdX/xgQQ/r2lK8Q+chIQwIOCguQugxCt45zj/pb7iHk/BsXJxXAe44wmy5rAwlW/fyN7GPUQMe/GIPVQKszdzeG50hP1h9WXu6waKVGUYO3ltfjw9IcoKi3Cgi4L8F6X92Bhot/fw5vJNzHr91k4E3sGA5sPxE+v/gSnuk5yl0UEoR9HThIT5a5AXPPmyV2B2HQ8H8YYXN5wQcfIjnD/wB0pe1Nwqdkl3Fl0B6V5pbXfgWD5lGSVIPrdaFxucRnpJ9PRZGkTBIYFyteYqCEfEyMTzOw4E2HTwzDIZxAWnVuEVuta4WT0STUUKCMV2USlR2HMgTFo80MbBN8LxoZXN+DgiIOG15gI9t7SVWI3JwIf1ZGdwoAmfaoJPcnHxNoETZc2RWBYIOq9Wg9xi+Pwb/N/cX/bfXBFLd4fguSjKFHg7g938a/Xv0hYmQDnsc7oGNkRHh94wLiOjDOFqjGfhtYNsWvYLvwx5g8wMLyy/RWM3DcSSTlJatuHVj2Vzd3su5hydAp8v/fFgdADmP/8fNyZdQeT2k/Sr2ttqkqQ95auE7s5IYQAAOo0rgO/3X5o+1dbmLuYI2xcGK50uoKsvzV8V48GPboLJ3JqJCz9LOEf5A+fjT4wd9HPZ2q97Pkybky9gcUvLsahsENotqYZph+fjvDUcLlLq5EHeQ8w78Q8eH7riU1XN2GK/xREz4zG8p7L4VDHQe7yiI6j5oQQHWLXxQ7t/20Pn60+KLxbiKvPX8WN/jfw4NADKIrF/42ttKAUybuSca3HNdx45QYU+Qr47fdD2zNtYd3eWu7yNM7CxAIfd/sYt6bdwtAWQ/HTlZ/g870P+uzog98if9OJafCzUIhPznyCpt82xap/V2FUq1GImBGBNX3XwMXaRe7yiJ7Q0xvNCdFfzIihwdgGcBrihISVCUj6IQkhg0NgWt8UzmOd4TLRRbt3tlRBztUc3N90H8k7klGSUQJzD3M0XdEUrjNcYWRueL8jeTl4YcugLfiy55f4MfhHrA1ai76/9EWzes0wI3AGxrcZD2tzcZo1BVfg38R/sSdkD7babEb6+QIMazEMn774KXydfOUuj+ghse/WaduWB127JncZYkpNBRwd5a5CXAaUj6JEgYwTGbi38R7Sfk0DL+Gw6WSDBhMboP6I+jCxqeB3EC3kU5xejORfknF/433kXssFM2dwGuKEBhMbwL67vWbmb1EXLY+fotIi7Lu9D9/++y3+vfsvbMxtMLHtREwPnA5PB0+t1fEkzjku3b2EPSF7sPf2XiRkJ8DM2Az9PV7GBz0Ww7+hvyx1Cc+A/u+piarerVOr5oQxNhzAIgC+AAI55xXe98sY6w1gNQBjABs458ursv0AT08eFB1d4/r02v79wNChclchLgPNpyilCMnbknFv4z08DH0II0sjOA13Qv2R9WHTwebxk3s1lE9RchGyL2UjeUcyUg+mghdxWLW3gstEF9QfVR+mDmp8crAmyTh+/k38F99e+hZ7QvagRFGCFk4t0NW9K7p6KD8a2TTS2L455wi+F4w9IXuwJ2QP4rLiYGpkit5evfGa32sY0HwAbI6eNMj3VpUZ6P89VaWt5sQXgALAegDvVNScMMaMAUQAeBlAIoDLAEZxzm9Xtv2A1q150I0bNa5Pr8XGAo0by12FuAw8H845ci7l4N7Ge0jZlYLSHOXtx+bu5rBqZwXrpqWweskV1u2tYdbQrNp3VXDOURhfiJyrOci9koucKznIvZqLoqQiAICJvQmcxzijwcQGsG4rzumJKhNg/CTlJGH7je04G3sWF+IvIKdIOR1+U/um6OrRFS+4v4CuHl3hae9Zo7ti8oryEJUehcj0SESkRSAyPRLn484jJiMGJkYmeMXzFbzW4jUM9BkIOwu7xy8UIBuhUT6StNKcPLGzs1DdnHQGsIhz3qvs7wsAgHO+rLLtBjRrxoMiImpdn176/Xegd2+5qxAX5fOf0rxSZF3MQu7VXGUjcTUH+REPAa78gWbqZAqr9lao26IumKn0DzlFoQJ5t/KQezUXJeklyi8aAZa+lrBuZw2r9lawamcFm042MLaQ8Vbg2hJs/JQoSnAj+QbOx53/7yMtPw0A4GLlAndbd1ibW8PKzArWZk/9Wfb1jPwMRKZH/teMPH0rs4uVC9o2aIthLYZhkM8g1XfcCJaNcCgfSVVtTrRxQWwjAAlP/D0RQEdVKzPGJgOYDADudeoAc+aUXyEwEOjbF9i7F5gwAXjnnWc3smgRcPw40K0bEBwMnD5dfnmXLsplx44BI0YACxY8u41ly4Ddu4F+/YBz54ALF8ov794d8PdXLuvbV7nPp331FbB5MzB8uLKeS5fKL+/VC/DxUdbYrRuwdGn55UZGwMqVwNq1wMSJynoeXYNz7hxw4gTQvz/g5gaEhyvrWbGi/DYsLJT/llWrgBkzlPWEhJRfZ8gQwN5eOemdjw+wenX55TY2wOLFylrmzVPWExlZfp2RIwEzMyA9XVnPunXll9erB3z44eNtrFoFxMWVX2fcOKCoSPlhbw9s3Fh+uYsLMH8+8PXXwNy5wJdfAvfulV9n0iQgIwP4+WfA2RnYurX8cg8PYPbsx3UsWQKkpZVfZ+pUICEBcHBQ1rJrV/nl3t7AtGmPt/HJJ0D2U1PMz5oFhIUBrq7Keg4cKL/cz085ftesUdazYIHymRxPevdd5dho3lxZz9Gj5Ze3bascv5s2KeuZN+/ZORYWLoTxuXNw8PeHQ0kYkHQC6AOUmP+D3OZ9kWvZGrnFTZBz/h6y/qoDFFbwRGRTE6BUARgbAVDA0iYLTg0zYdUmC9b1s1B3gB+MX2lZ/v10+KltiP5+euTR+2ndOqB1a2HeTybr1qE9gPYAZsMDCoeZCJs2DOc3foT/NbVEyu3LyCmIRzIrRg6KkMuKkWuiQIGisNxmnRR14K2ww8sKO3hbtoL3oInwPv4PvGYuhvXqdUDQPSDoJoCbyhc8ej+ZmSk/tm59/H8PYJDvJ5w7pxyrYWGPc3gkMBD46y/l996Qfz49UtnPJwmVHjlhjP0JoEEFixZyzg+XrXMWqo+cDAPQm3P+ZtnfxwLoyDmfXllxAc7OPCg5udJ/hEGaMwf45hu5qxAX5SON8pGmJ/kUlxYjrzgPOYU5sDa3Ln96pqb0JBuNoXwkqe3ICee8Zy1ruQvA7Ym/u5Z9jRBCiAaZGpvCzthOPU0JIVqkjQkGLgPwZow1YYyZARgJ4IgW9ksIIYQQHVSr5oQxNpgxlgigM4BjjLETZV9vyBg7DgCc8xIA0wGcABAKYA/nPETVNsupK9ZEUkIJDJS7ArFRPtIoH2mUj2qUjTTKRy3EnoStXTsedPWq3GWIKSsLsLWVuwpxUT7SKB9plI9qlI00ykdSVa85EXve6IwMuSsQ1969clcgNspHGuUjjfJRjbKRRvmohdhHTgICeFBQhZPOktJSwFiH55HQNMpHGuUjjfJRjbKRRvlI0o8jJwkJla9jqCq6f548RvlIo3ykUT6qUTbSKB+1ELs5IYQQQojBoeaEEEIIIUKh5oQQQgghQqHmhBBCCCFCEftuHZrnRDW6l14a5SON8pFG+ahG2UijfCTpx906WVlyVyCu48flrkBslI80ykca5aMaZSON8lELsZsTa2u5KxBXt25yVyA2ykca5SON8lGNspFG+aiF2M3Jw4dyVyCu4GC5KxAb5SON8pFG+ahG2UijfNRC7OYkO1vuCsR1+rTcFYiN8pFG+UijfFSjbKRRPmohdnNCCCGEEINDzQkhhBBChELNCSGEEEKEInZzYmUldwXi6tJF7grERvlIo3ykUT6qUTbSKB+1ELs5oVuJVaPb1aRRPtIoH2mUj2qUjTTKRy3Ebk5oEjbVjh2TuwKxUT7SKB9plI9qlI00ykctxJ6+3t+fB9E94xUrKAAsLOSuQlyUjzTKRxrloxplI43ykaQf09cnJspdgbgWLJC7ArFRPtIoH2mUj2qUjTTKRy3Ebk4IIYQQYnCoOSGEEEKIUKg5IYQQQohQqDkhhBBCiFDobh1dRVeES6N8pFE+0igf1SgbaZSPJP24Wyc9Xe4KxLV7t9wViI3ykUb5SKN8VKNspFE+aiH2kZO2bXnQtWtylyGm1FTA0VHuKsRF+UijfKRRPqpRNtIoH0n6ceQkJ0fuCsR17pzcFYiN8pFG+UijfFSjbKRRPmohdnOSmyt3BeK6cEHuCsRG+UijfKRRPqpRNtIoH7UQuzkhhBBCiMGh5oQQQgghQqHmhBBCCCFCEbs5sbGRuwJxde8udwVio3ykUT7SKB/VKBtplI9aiN2cWFrKXYG4/P3lrkBslI80ykca5aMaZSON8lELsZsTupVYNbpdTRrlI43ykUb5qEbZSKN81ELsSdjateNBV6/KXYaYsrIAW1u5qxAX5SON8pFG+ahG2UijfCTpxyRsSUlyVyCuRYvkrkBslI80ykca5aMaZSON8lELsZsTQgghhBgcak4IIYQQIhRqTgghhBAiFGpOCCGEECIUse/WCQjgQUFBcpchptJSwNhY7irERflIo3ykUT6qUTbSKB9J+nG3Tmqq3BWIa/NmuSsQG+UjjfKRRvmoRtlIo3zUQuwjJzTPiWp0L700ykca5SON8lGNspFG+UjSjyMnWVlyVyCu48flrkBslI80ykca5aMaZSON8lGLWjUnjLHhjLEQxpiCMaayE2KMxTLGbjLGrjHGqn4RSV5ebcrTb5cuyV2B2CgfaZSPNMpHNcpGGuWjFia1fP0tAEMArK/Cui9xzukiEkIIIYRIqlVzwjkPBQDGmHqqIYQQQojB09Y1JxzAH4yxYMbYZC3tkxBCCCE6qNK7dRhjfwJoUMGihZzzw2XrnAXwDue8wutJGGONOOd3GWP1AZwEMINzfl7FupMBPGpgWkJ56og8yxEAnSZTjfKRRvlIo3xUo2ykUT7SmnPOrStbqdLTOpzznrWthHN+t+zPFMbYQQCBACpsTjjnPwL4EQAYY0FVueXIEFE20igfaZSPNMpHNcpGGuUjrao3xWj8tA5jrC5jzPrR5wBeAR0NIYQQQogKtb2VeDBjLBFAZwDHGGMnyr7ekDH26GZvZwAXGGPXAVwCcIxz/ntt9ksIIYQQ/VXbu3UOAjhYwdeTAPQt+zwGQJsa7uLHmlen9ygbaZSPNMpHGuWjGmUjjfKRVqV8hJ6+nhBCCCGGR+zp6wkhhBBicIRsThhjvRlj4YyxKMbY+3LXIxLG2CbGWApjjC4qrgBjzI0xdoYxdrvs0Qqz5K5JFIwxC8bYJcbY9bJsFstdk4gYY8aMsauMsaNy1yKaGj+KxEAwxuwYY/sYY2GMsVDGWGe5axIBY6x52Zh59JHNGJst+RrRTuswxowBRAB4GUAigMsARnHOb8tamCAYY10B5ALYyjlvKXc9omGMuQBw4ZxfKbtLLBjAIBo/AFNO5VyXc57LGDMFcAHALM75PzKXJhTG2FwAAQBsOOf95a5HJIyxWAAB9CiSijHGtgD4i3O+gTFmBsCSc54pc1lCKfsZfxdAR855nKr1RDxyEggginMewzkvArALwECZaxJG2eR16XLXISrO+T3O+ZWyz3MAhAJoJG9VYuBKuWV/NS37EOu3E5kxxlwB9AOwQe5aiG5hjNkC6ApgIwBwzouoMalQDwDRUo0JIGZz0ghAwhN/TwT9cCE1wBhrDKAdgH9lLkUYZacsrgFIAXCSc07ZlLcKwHwACpnrEBU9ikS1JgAeANhcdlpwQ9ncXqS8kQB2VraSiM0JIbXGGLMCsB/AbM55ttz1iIJzXso5bwvAFUAgY4xODZZhjPUHkMI5D5a7FoF14Zy3B9AHwNtlp5mJkgmA9gDWcc7bAcgDQNdMPqHsVNcAAHsrW1fE5uQuALcn/u5a9jVCqqTseor9AHZwzg/IXY+Iyg43nwHQW+ZSRPI8gAFl11XsAtCdMbZd3pLE8uSjSKCc4ypQ3oqEkggg8YmjkfugbFbIY30AXOGcJ1e2oojNyWUA3oyxJmVd1kgAR2SuieiIsos+NwII5Zx/LXc9ImGMOTHG7Mo+rwPlRedhshYlEM75As65K+e8MZT/75zmnI+RuSxh0KNIpHHO7wNIYIw1L/tSDwAGfyH+U0ahCqd0gFrOEKsJnPMSxth0ACcAGAPYxDkPkbksYTDGdgJ4EYBj2aMDPuGcb5S3KqE8D2AsgJtl11YAwAec8+OqX2IwXABsKbta3gjAHs453S5LqsoZwEFl/w8TAL/Qo0ieMQPAjrJfrGMATJC5HmGUNbQvA3irSuuLdisxIYQQQgybiKd1CCGEEGLAqDkhhBBCiFCoOSGEEEKIUKg5IYQQQohQqDkhhBBCiFCoOSGEEEKIUKg5IYQQQohQqDkhhBBCiFD+H8DFhD7ij3F/AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 648x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0,2*np.pi,50)\n",
    "\n",
    "y = np.sin(x)\n",
    "\n",
    "plt.figure(figsize=(9,6))\n",
    "\n",
    "plt.plot(x,y,color = 'green')\n",
    "\n",
    "plt.plot(x,np.cos(x),color = 'm')\n",
    "# linestyle or ls: {'-', '--', '-.', ':', '', (offset, on-off-seq), ...}\n",
    "plt.grid(alpha=0.7,color = 'red',linestyle = '-.')# shift + tab\n",
    "plt.axis([0,7,-1.5,1.5])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "827970db",
   "metadata": {},
   "source": [
    "#### 坐标轴刻度、标签、标题"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "a8b781db",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-05-07T13:55:57.187125Z",
     "start_time": "2022-05-07T13:55:56.714421Z"
    },
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['DejaVu Serif',\n",
       " 'cmtt10',\n",
       " 'STIXSizeOneSym',\n",
       " 'DejaVu Serif Display',\n",
       " 'STIXNonUnicode',\n",
       " 'DejaVu Sans Mono',\n",
       " 'DejaVu Sans Mono',\n",
       " 'DejaVu Sans',\n",
       " 'DejaVu Sans',\n",
       " 'STIXSizeOneSym',\n",
       " 'STIXGeneral',\n",
       " 'STIXGeneral',\n",
       " 'STIXSizeFourSym',\n",
       " 'cmmi10',\n",
       " 'STIXSizeFourSym',\n",
       " 'STIXSizeThreeSym',\n",
       " 'cmss10',\n",
       " 'DejaVu Sans',\n",
       " 'DejaVu Serif',\n",
       " 'STIXGeneral',\n",
       " 'cmex10',\n",
       " 'STIXNonUnicode',\n",
       " 'STIXSizeFiveSym',\n",
       " 'DejaVu Sans Display',\n",
       " 'cmb10',\n",
       " 'STIXSizeThreeSym',\n",
       " 'STIXSizeTwoSym',\n",
       " 'STIXGeneral',\n",
       " 'DejaVu Sans Mono',\n",
       " 'DejaVu Serif',\n",
       " 'cmr10',\n",
       " 'STIXNonUnicode',\n",
       " 'cmsy10',\n",
       " 'DejaVu Serif',\n",
       " 'DejaVu Sans Mono',\n",
       " 'STIXNonUnicode',\n",
       " 'DejaVu Sans',\n",
       " 'STIXSizeTwoSym',\n",
       " 'Segoe Script',\n",
       " 'Gill Sans MT Ext Condensed Bold',\n",
       " 'Eras Light ITC',\n",
       " 'Wingdings 3',\n",
       " 'Tahoma',\n",
       " 'Ink Free',\n",
       " 'Agency FB',\n",
       " 'Berlin Sans FB',\n",
       " 'Gloucester MT Extra Condensed',\n",
       " 'Tahoma',\n",
       " 'Garamond',\n",
       " 'Arial',\n",
       " 'Monotype Corsiva',\n",
       " 'Vladimir Script',\n",
       " 'Lucida Console',\n",
       " 'Lucida Fax',\n",
       " 'Gill Sans MT',\n",
       " 'Ebrima',\n",
       " 'STXingkai',\n",
       " 'Tw Cen MT Condensed Extra Bold',\n",
       " 'Century Gothic',\n",
       " 'DejaVu Sans Mono',\n",
       " 'Bodoni MT',\n",
       " 'Wingdings 2',\n",
       " 'Perpetua',\n",
       " 'Agency FB',\n",
       " 'Rockwell Extra Bold',\n",
       " 'Comic Sans MS',\n",
       " 'Microsoft Yi Baiti',\n",
       " 'Segoe UI',\n",
       " 'Tw Cen MT',\n",
       " 'Bookman Old Style',\n",
       " 'Perpetua',\n",
       " 'Colonna MT',\n",
       " 'Bodoni MT',\n",
       " 'Snap ITC',\n",
       " 'Forte',\n",
       " 'Microsoft YaHei',\n",
       " 'Gill Sans MT',\n",
       " 'Rockwell',\n",
       " 'FZYaoTi',\n",
       " 'Arial',\n",
       " 'Century Gothic',\n",
       " 'Californian FB',\n",
       " 'Verdana',\n",
       " 'Felix Titling',\n",
       " 'Arial',\n",
       " 'Gadugi',\n",
       " 'Tw Cen MT Condensed',\n",
       " 'Mongolian Baiti',\n",
       " 'Lucida Bright',\n",
       " 'Kristen ITC',\n",
       " 'Franklin Gothic Heavy',\n",
       " 'Goudy Old Style',\n",
       " 'Microsoft JhengHei',\n",
       " 'STZhongsong',\n",
       " 'MS Gothic',\n",
       " 'Broadway',\n",
       " 'Bahnschrift',\n",
       " 'Corbel',\n",
       " 'STCaiyun',\n",
       " 'Webdings',\n",
       " 'Algerian',\n",
       " 'Footlight MT Light',\n",
       " 'Microsoft Uighur',\n",
       " 'Rockwell Condensed',\n",
       " 'Myanmar Text',\n",
       " 'Mistral',\n",
       " 'Franklin Gothic Demi',\n",
       " 'Lucida Calligraphy',\n",
       " 'Script MT Bold',\n",
       " 'STSong',\n",
       " 'Bodoni MT',\n",
       " 'Arial',\n",
       " 'High Tower Text',\n",
       " 'Corbel',\n",
       " 'Cambria',\n",
       " 'STXinwei',\n",
       " 'STHupo',\n",
       " 'Microsoft Tai Le',\n",
       " 'Leelawadee UI',\n",
       " 'Malgun Gothic',\n",
       " 'DengXian',\n",
       " 'Sitka',\n",
       " 'Courier New',\n",
       " 'Courier New',\n",
       " 'Blackadder ITC',\n",
       " 'Rockwell',\n",
       " 'Segoe Print',\n",
       " 'YouYuan',\n",
       " 'Constantia',\n",
       " 'Palatino Linotype',\n",
       " 'Consolas',\n",
       " 'Courier New',\n",
       " 'HoloLens MDL2 Assets',\n",
       " 'Consolas',\n",
       " 'STLiti',\n",
       " 'Segoe MDL2 Assets',\n",
       " 'Cambria',\n",
       " 'Segoe UI Historic',\n",
       " 'Lucida Fax',\n",
       " 'Niagara Engraved',\n",
       " 'Times New Roman',\n",
       " 'Microsoft New Tai Lue',\n",
       " 'Castellar',\n",
       " 'Gill Sans MT',\n",
       " 'Leelawadee',\n",
       " 'Trebuchet MS',\n",
       " 'Calibri',\n",
       " 'Microsoft JhengHei',\n",
       " 'Lucida Sans',\n",
       " 'DengXian',\n",
       " 'Arial',\n",
       " 'Bell MT',\n",
       " 'Onyx',\n",
       " 'Courier New',\n",
       " 'Constantia',\n",
       " 'Arial',\n",
       " 'Bodoni MT',\n",
       " 'Yu Gothic',\n",
       " 'Ravie',\n",
       " 'Candara',\n",
       " 'Lucida Sans',\n",
       " 'Segoe UI',\n",
       " 'Modern No. 20',\n",
       " 'KaiTi',\n",
       " 'Leelawadee UI',\n",
       " 'Bookman Old Style',\n",
       " 'Arial',\n",
       " 'Yu Gothic',\n",
       " 'French Script MT',\n",
       " 'Britannic Bold',\n",
       " 'Garamond',\n",
       " 'SimHei',\n",
       " 'Segoe UI Variable',\n",
       " 'Old English Text MT',\n",
       " 'Stencil',\n",
       " 'SimSun-ExtB',\n",
       " 'Chiller',\n",
       " 'Rockwell',\n",
       " 'Matura MT Script Capitals',\n",
       " 'Tw Cen MT',\n",
       " 'Tw Cen MT',\n",
       " 'Bodoni MT',\n",
       " 'Lucida Handwriting',\n",
       " 'Bradley Hand ITC',\n",
       " 'Perpetua',\n",
       " 'Centaur',\n",
       " 'Trebuchet MS',\n",
       " 'Trebuchet MS',\n",
       " 'Impact',\n",
       " 'Candara',\n",
       " 'Gill Sans MT Condensed',\n",
       " 'Lucida Fax',\n",
       " 'Corbel',\n",
       " 'Showcard Gothic',\n",
       " 'Ebrima',\n",
       " 'STKaiti',\n",
       " 'Microsoft PhagsPa',\n",
       " 'Eras Medium ITC',\n",
       " 'Pristina',\n",
       " 'MingLiU-ExtB',\n",
       " 'Verdana',\n",
       " 'Cambria',\n",
       " 'FZShuTi',\n",
       " 'Sylfaen',\n",
       " 'Georgia',\n",
       " 'Gadugi',\n",
       " 'FangSong',\n",
       " 'Century Gothic',\n",
       " 'Candara',\n",
       " 'Times New Roman',\n",
       " 'Vivaldi',\n",
       " 'Lucida Fax',\n",
       " 'Kunstler Script',\n",
       " 'Segoe UI',\n",
       " 'Rockwell Condensed',\n",
       " 'Symbol',\n",
       " 'Leelawadee UI',\n",
       " 'Lucida Sans',\n",
       " 'Constantia',\n",
       " 'Times New Roman',\n",
       " 'Segoe UI',\n",
       " 'Engravers MT',\n",
       " 'Verdana',\n",
       " 'Javanese Text',\n",
       " 'Goudy Old Style',\n",
       " 'Arial',\n",
       " 'Franklin Gothic Demi',\n",
       " 'Comic Sans MS',\n",
       " 'Californian FB',\n",
       " 'Gill Sans Ultra Bold Condensed',\n",
       " 'Microsoft YaHei',\n",
       " 'Freestyle Script',\n",
       " 'Gabriola',\n",
       " 'Palatino Linotype',\n",
       " 'Palatino Linotype',\n",
       " 'Bodoni MT',\n",
       " 'Tw Cen MT Condensed',\n",
       " 'Lucida Bright',\n",
       " 'Wingdings',\n",
       " 'Perpetua Titling MT',\n",
       " 'Microsoft YaHei',\n",
       " 'Microsoft New Tai Lue',\n",
       " 'Consolas',\n",
       " 'Segoe UI',\n",
       " 'Book Antiqua',\n",
       " 'Calisto MT',\n",
       " 'Copperplate Gothic Light',\n",
       " 'Imprint MT Shadow',\n",
       " 'Times New Roman',\n",
       " 'Segoe UI',\n",
       " 'Curlz MT',\n",
       " 'STFangsong',\n",
       " 'Century Schoolbook',\n",
       " 'Eras Bold ITC',\n",
       " 'Lucida Sans Typewriter',\n",
       " 'Segoe Print',\n",
       " 'Bell MT',\n",
       " 'SimSun',\n",
       " 'Yu Gothic',\n",
       " 'Segoe UI Emoji',\n",
       " 'Microsoft Uighur',\n",
       " 'DejaVu Sans Mono',\n",
       " 'Bookshelf Symbol 7',\n",
       " 'DejaVu Sans Mono',\n",
       " 'Corbel',\n",
       " 'Segoe UI',\n",
       " 'Microsoft Sans Serif',\n",
       " 'Bernard MT Condensed',\n",
       " 'Constantia',\n",
       " 'Calibri',\n",
       " 'Nirmala UI',\n",
       " 'Wide Latin',\n",
       " 'Arial Rounded MT Bold',\n",
       " 'Segoe UI Symbol',\n",
       " 'DejaVu Sans Mono',\n",
       " 'Bodoni MT',\n",
       " 'Dubai',\n",
       " 'Berlin Sans FB Demi',\n",
       " 'Georgia',\n",
       " 'Microsoft PhagsPa',\n",
       " 'Century Gothic',\n",
       " 'Lucida Bright',\n",
       " 'Haettenschweiler',\n",
       " 'Viner Hand ITC',\n",
       " 'Calibri',\n",
       " 'Book Antiqua',\n",
       " 'Malgun Gothic',\n",
       " 'STXihei',\n",
       " 'Century Schoolbook',\n",
       " 'Franklin Gothic Heavy',\n",
       " 'Bell MT',\n",
       " 'Calisto MT',\n",
       " 'Segoe UI',\n",
       " 'Calibri',\n",
       " 'Palatino Linotype',\n",
       " 'Berlin Sans FB',\n",
       " 'Cooper Black',\n",
       " 'Franklin Gothic Medium Cond',\n",
       " 'MS Reference Sans Serif',\n",
       " 'Century Schoolbook',\n",
       " 'Bodoni MT',\n",
       " 'Lucida Sans Typewriter',\n",
       " 'Franklin Gothic Medium',\n",
       " 'Lucida Sans Unicode',\n",
       " 'Lucida Sans Typewriter',\n",
       " 'Franklin Gothic Medium',\n",
       " 'Microsoft Himalaya',\n",
       " 'Maiandra GD',\n",
       " 'Comic Sans MS',\n",
       " 'Harrington',\n",
       " 'Poor Richard',\n",
       " 'Garamond',\n",
       " 'Lucida Sans Typewriter',\n",
       " 'Rage Italic',\n",
       " 'Segoe UI',\n",
       " 'Palace Script MT',\n",
       " 'Segoe Script',\n",
       " 'Candara',\n",
       " 'Nirmala UI',\n",
       " 'Elephant',\n",
       " 'MS Outlook',\n",
       " 'Franklin Gothic Book',\n",
       " 'Calibri',\n",
       " 'Informal Roman',\n",
       " 'Playbill',\n",
       " 'Marlett',\n",
       " 'Comic Sans MS',\n",
       " 'Perpetua',\n",
       " 'Eras Demi ITC',\n",
       " 'Lucida Bright',\n",
       " 'Bodoni MT',\n",
       " 'Microsoft Tai Le',\n",
       " 'Bookman Old Style',\n",
       " 'Georgia',\n",
       " 'Candara',\n",
       " 'Franklin Gothic Demi Cond',\n",
       " 'Myanmar Text',\n",
       " 'Calisto MT',\n",
       " 'Calisto MT',\n",
       " 'Jokerman',\n",
       " 'Consolas',\n",
       " 'Bauhaus 93',\n",
       " 'Book Antiqua',\n",
       " 'Juice ITC',\n",
       " 'Tempus Sans ITC',\n",
       " 'Papyrus',\n",
       " 'Calibri',\n",
       " 'Century Schoolbook',\n",
       " 'Verdana',\n",
       " 'Baskerville Old Face',\n",
       " 'Bodoni MT',\n",
       " 'Segoe UI',\n",
       " 'Century',\n",
       " 'Rockwell',\n",
       " 'High Tower Text',\n",
       " 'Edwardian Script ITC',\n",
       " 'Dubai',\n",
       " 'Parchment',\n",
       " 'Georgia',\n",
       " 'Goudy Stout',\n",
       " 'Goudy Old Style',\n",
       " 'DengXian',\n",
       " 'Segoe Fluent Icons',\n",
       " 'Perpetua Titling MT',\n",
       " 'Niagara Solid',\n",
       " 'Magneto',\n",
       " 'Corbel',\n",
       " 'Trebuchet MS',\n",
       " 'Dubai',\n",
       " 'Segoe UI',\n",
       " 'Brush Script MT',\n",
       " 'Microsoft JhengHei',\n",
       " 'Gill Sans MT',\n",
       " 'MS Reference Specialty',\n",
       " 'Bookman Old Style',\n",
       " 'Corbel',\n",
       " 'Yu Gothic',\n",
       " 'Tw Cen MT',\n",
       " 'Nirmala UI',\n",
       " 'Harlow Solid Italic',\n",
       " 'Sitka',\n",
       " 'Elephant',\n",
       " 'Bodoni MT',\n",
       " 'MV Boli',\n",
       " 'Malgun Gothic',\n",
       " 'Gill Sans Ultra Bold',\n",
       " 'Candara',\n",
       " 'Lucida Sans',\n",
       " 'MT Extra',\n",
       " 'Californian FB',\n",
       " 'Dubai',\n",
       " 'OCR A Extended',\n",
       " 'Copperplate Gothic Bold',\n",
       " 'Book Antiqua',\n",
       " 'Leelawadee',\n",
       " 'Cambria',\n",
       " 'Franklin Gothic Book',\n",
       " 'Gigi',\n",
       " 'Arial',\n",
       " 'LiSu',\n",
       " 'Segoe UI']"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from matplotlib import font_manager # 字体管理器\n",
    "fm = font_manager.FontManager()\n",
    "# 获取所有字体\n",
    "[font.name for font in fm.ttflist]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "660ab1bc",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-05-07T14:07:48.681206Z",
     "start_time": "2022-05-07T14:07:48.667736Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.        , 1.57079633, 3.14159265, 4.71238898, 6.28318531])"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.arange(0,2*np.pi+0.0001,np.pi/2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "fbe955dd",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-05-07T14:19:19.863737Z",
     "start_time": "2022-05-07T14:19:19.344187Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rcParams['font.family'] = 'KaiTi'\n",
    "plt.rcParams['font.size'] = 25\n",
    "plt.rcParams['axes.unicode_minus'] = False\n",
    "\n",
    "plt.figure(figsize=(9,6))\n",
    "\n",
    "plt.plot(x,y)\n",
    "\n",
    "plt.title('正弦波',pad = 20)\n",
    "_ = plt.yticks([-1,0,1],labels=['min',0,'max'])\n",
    "plt.ylabel('y = sin(x)',rotation = 0,labelpad=60)\n",
    "xticks = np.arange(0,2*np.pi+0.000001,np.pi/2)\n",
    "_ = plt.xticks(xticks,\n",
    "               [0,r'$\\rm\\frac{\\pi}{2}$',r'$\\rm\\pi$',r'$\\rm\\frac{3\\pi}{2}$',r'$\\rm2\\pi$'],\n",
    "               color = 'red')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "57a2ffac",
   "metadata": {},
   "source": [
    "$\\frac{\\pi}{2}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ebc24749",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.6"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": true
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
